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Finding the Fourth Proportional to 6,354.24, 9,532.63 and 2,194.40

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Solution

The fourth proportional to 6,354.24, 9,532.63 and 2,194.40 is: 3,292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.24 : 9,532.63 = 2,194.40 : x
  2. Step 2: Convert to fraction form
    6,354.24/9,532.63 = 2,194.40/x
  3. Step 3: Cross multiply
    6,354.24x = 9,532.63 × 2,194.40
  4. Step 4: Simplify right side
    6,354.24x = 20,918,408.76
  5. Step 5: Solve for x
    x = 20,918,408.76/6,354.24
  6. Step 6: Final answer
    x = 3,292.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.